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Finding the Fourth Proportional to 54.46, 81.14 and 54.13

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Solution

The fourth proportional to 54.46, 81.14 and 54.13 is: 80.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.46 : 81.14 = 54.13 : x
  2. Step 2: Convert to fraction form
    54.46/81.14 = 54.13/x
  3. Step 3: Cross multiply
    54.46x = 81.14 × 54.13
  4. Step 4: Simplify right side
    54.46x = 4,392.11
  5. Step 5: Solve for x
    x = 4,392.11/54.46
  6. Step 6: Final answer
    x = 80.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.